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12320145648 = 2432325126317
BaseRepresentation
bin10110111100101011…
…01000000011110000
31011210121112020121200
423132111220003300
5200212424130043
65354303251200
7614206336656
oct133625500360
934717466550
1012320145648
115252445858
122479ba9b00
131214597115
1484c356dd6
154c190d7d3
hex2de5680f0

12320145648 has 60 divisors (see below), whose sum is σ = 34491212808. Its totient is φ = 4105296000.

The previous prime is 12320145647. The next prime is 12320145671. The reversal of 12320145648 is 84654102321.

It is a happy number.

12320145648 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 0 + 1 + 4 + 5 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320145641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454986 + ... + 481302.

Almost surely, 212320145648 is an apocalyptic number.

12320145648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12320145648 is an abundant number, since it is smaller than the sum of its proper divisors (22171067160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12320145648 is a wasteful number, since it uses less digits than its factorization.

12320145648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29582 (or 29573 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 12320145648 its reverse (84654102321), we get a palindrome (96974247969).

The spelling of 12320145648 in words is "twelve billion, three hundred twenty million, one hundred forty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3251 6502 9753 13004 19506 26008 26317 29259 39012 52016 52634 58518 78024 78951 105268 117036 156048 157902 210536 234072 236853 315804 421072 468144 473706 631608 947412 1263216 1894824 3789648 85556567 171113134 256669701 342226268 513339402 684452536 770009103 1026678804 1368905072 1540018206 2053357608 3080036412 4106715216 6160072824 12320145648